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102121434432 = 26321559113723
BaseRepresentation
bin101111100011011101…
…0010110110101000000
3100202121000111101012100
41133012322112311000
53133121041400212
6114525224430400
710243443604353
oct1370672266500
9322530441170
10102121434432
113a3449841a6
1217960318400
1398261938a4
144d2aaca29a
1529ca5d7bdc
hex17c6e96d40

102121434432 has 84 divisors (see below), whose sum is σ = 292902985440. Its totient is φ = 34018344192.

The previous prime is 102121434431. The next prime is 102121434433. The reversal of 102121434432 is 234434121201.

102121434432 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 214 + 3 + 443 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102121434431) and next prime (102121434433).

It is a junction number, because it is equal to n+sod(n) for n = 102121434396 and 102121434405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121434431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841123 + ... + 954845.

Almost surely, 2102121434432 is an apocalyptic number.

102121434432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146451492720).

102121434432 is an abundant number, since it is smaller than the sum of its proper divisors (190781551008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121434432 is a wasteful number, since it uses less digits than its factorization.

102121434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115300 (or 115287 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102121434432 its reverse (234434121201), we get a palindrome (336555555633).

The spelling of 102121434432 in words is "one hundred two billion, one hundred twenty-one million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1559 3118 4677 6236 9354 12472 14031 18708 24944 28062 37416 49888 56124 74832 99776 112248 113723 149664 224496 227446 299328 341169 448992 454892 682338 897984 909784 1023507 1364676 1819568 2047014 2729352 3639136 4094028 5458704 7278272 8188056 10917408 16376112 21834816 32752224 65504448 177294157 354588314 531882471 709176628 1063764942 1418353256 1595647413 2127529884 2836706512 3191294826 4255059768 5673413024 6382589652 8510119536 11346826048 12765179304 17020239072 25530358608 34040478144 51060717216 102121434432